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Finding the Fourth Proportional to 11,876.70, 16,411.54 and 11,300.26

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Solution

The fourth proportional to 11,876.70, 16,411.54 and 11,300.26 is: 15,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.70 : 16,411.54 = 11,300.26 : x
  2. Step 2: Convert to fraction form
    11,876.70/16,411.54 = 11,300.26/x
  3. Step 3: Cross multiply
    11,876.70x = 16,411.54 × 11,300.26
  4. Step 4: Simplify right side
    11,876.70x = 185,454,619.90
  5. Step 5: Solve for x
    x = 185,454,619.90/11,876.70
  6. Step 6: Final answer
    x = 15,614.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.